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Byju's Answer
Standard XII
Mathematics
Complex Numbers
Non-zero comp...
Question
Non-zero complex number z is such that Z+ 1/Z is Z purely real then sum of possible values of arg(z) is k, then k equals
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Q.
Let z & w be two non zero complex numbers such that
|
z
|
=
|
w
|
and
A
r
g
z
+
A
r
g
w
=
π
, then z equals
Q.
Let
z
and
w
be two non-zero complex numbers such that
|
z
|
=
|
w
|
and
a
r
g
(
z
)
+
a
r
g
(
w
)
=
π
, then
z
equals
Q.
If
z
is a non-zero complex number, then
a
r
g
(
z
)
+
a
r
g
(
¯
¯
¯
z
)
equals
Q.
Let
z
and
ω
are two non-zero complex numbers such that
|
z
|
=
|
ω
|
and
a
r
g
z
+
a
r
g
ω
=
π
, then
z
equal to
Q.
If
z
is a complex number not purely real such that imaginary part of
z
−
1
+
1
z
−
1
is zero, then locus of
z
is-
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